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3 years ago

14

A new car is purchased for 15500 dollars. The value of the car depreciates at 6.5% per year. What will the value of the car be,

to the nearest cent, after 6 years?

1 answer:

Aleksandr [31]3 years ago

3 0

Answer:

$10356,22

Step-by-step explanation:

15500*(1-(6,5/100))^6=10356,22

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When playing roulette at the Venetian casino in Las Vegas, a gambler is trying to decide whether to bet $5 on the number 27 or t

cricket20 [7]

Answer:

Step-by-step explanation:

Given that:

To bet $5 that the outcome is any one of these five possibilities: 0, 00, 1, 2, 3.

Let Y represent the Amount of net profit

Then, Y= {-5, 30}

The probability distribution of Y is:

Y -5 30

P(Y=y) $\dfrac{33}{38}$ $\dfrac{5}{38}$

a) The expected value of X is given by:

$E[Y] =\sum y P(Y=y)= 30*\dfrac{5}{38}-5*\dfrac{33}{38}$

$=-0.39$

$= -39 \ cents$

b)

On a bet of $5 on the number 25 we are expected to loose 24 cents.

While on a $5 bet that the outcome is any one of the numbers 0,00, or 1 we are expected to loose 39 cents.

Hence, $5 bet on the number 27 is better. Because the expected loss is less in this bet

6 0

3 years ago

write a system of linear equations that has only one solution. solve the system of equations in two ways.

Iteru [2.4K]

X + 5y = 1 . . . . (1)
8x - 2y = 3 . . . .(2)
Solution 1.
From (1), x = 1 - 5y
substituting for x in (2), we have:
8(1 - 5y) - 2y = 3
8 - 40y - 2y = 3
8 - 42y = 3
42y = 5
y = 5/42
x = 1 - 5(5/42) = 1 - 25/42 = 17/42.

Solution 2.
Multiply (1) by 8, to get:
8x + 40y = 8 . . . . . (3)
(3) - (2) = 40y - (-2y) = 8 - 3
42y = 5
y = 5/42
substitute for y into (3), to get:
8x + 40(5/42) = 8
8x + 100/21 = 8
8x = 8 - 100/21 = 68/21
x = (68/21)/8 = 17/42

7 0

3 years ago

Q-35<br><br> Convert this equation to slope-intercept form: y+2= -4/17x + 12/7

Andru [333]

Answer:

see explanation

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept)

given y + 2 = - $\frac{4}{17}$ x + $\frac{12}{7}$

Subtract 2 from both sides

y = - $\frac{4}{17}$ x + $\frac{12}{7}$ - $\frac{14}{7}$

y = - $\frac{4}{17}$ x - $\frac{2}{7}$ ← in slope- intercept form

6 0

3 years ago

What is the equation, in slope-intercept form, of the line

Sati [7]

<u>Given</u>:

Given that the graph of the equation of the line.

The line that is perpendicular to the given line and passes through the point (2,-1)

We need to determine the equation of the line perpendicular to the given line.

<u>Slope of the given line:</u>

The slope of the given line can be determined by substituting any two coordinates from the line in the slope formula,

$m=\frac{y_2-y_1}{x_2-x_1}$

Substituting the coordinates (-1,3) and (2,2), we get;

$m_1=\frac{2-3}{2+1}$

$m_1=-\frac{1}{3}$

Thus, the slope of the given line is $m_1=-\frac{1}{3}$

<u>Slope of the perpendicular line:</u>

The slope of the perpendicular line can be determined by

$m_2=-\frac{1}{m_1}$

Substituting $m_1=-\frac{1}{3}$ , we get;

$m_2=-\frac{1}{-\frac{1}{3}}$

simplifying, we get;

$m_2=3$

Thus, the slope of the perpendicular line is 3.

<u>Equation of the perpendicular line:</u>

The equation of the perpendicular line can be determined using the formula,

$y-y_1=m(x-x_1)$

Substituting $m=3$ and the point (2,-1) in the above formula, we have;

$y+1=3(x-2)$

$y+1=3x-6$

$y=3x-7$

Thus, the equation of the perpendicular line is $y=3x-7$

Hence, Option d is the correct answer.

3 0

3 years ago

Solve for g please!!!!!!!!!!!!!!

alexandr402 [8]

G = m/5t- Q^2. Hope that helps.

4 0

3 years ago